Suppose your water heater broke so you couldn't take a hot shower. You go to a person and ask them to check out your water heater. That person comes to your house and uses a bunch of spare parts and then fixes it so you pay him or her for the repairs. Is this person more likely:
An accountant
OR
A plumber
OR
An accountant and a plumber.
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The person is most likely an accountant. When you read this word problem, you intuitively jumped to the conclusion that the person was most likely a plumber because, well, plumbers fix water heaters. BUT, the question asks what is more likely, which means it's a probability question. So, the probabilities are that
[A] a plumber-accountant fixed your heater (probably very small, right? Not many people are both licensed plumbers and accountants),
[B] an accountant fixed your heater (there are probs waaaaaay more accountants than plumber-accountants)
And then, in this situation, any plumber is definitely also an accountant, so you actually add those probabilities together.